On ${\mathbf{R}}^{+}$ and ${\mathbf{C}}$ complete holomorphic vector fields

DOI10.1090/S0002-9939-00-05321-1zbMath1121.32303OpenAlexW2040831712MaRDI QIDQ4501104

Manuel Flores, Jean-Pierre Rosay, Patrick Ahern

Publication date: 3 September 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05321-1

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

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Cites Work

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• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• On Rebelo's theorem on singularities of holomorphic flows
• Actions of \((\mathbf R,+)\) and \((\mathbf C,+)\) on complex manifolds